A note on projective Levi flats and minimal sets of algebraic foliations
Annales de l'Institut Fourier, Tome 49 (1999) no. 4, pp. 1369-1385.

Dans cet article on démontre qu’un feuilletage holomorphe de codimension un dans ℂℙn,n≥3, n’a pas de minimaux non triviaux. On démontre aussi que pour n≥3, il n’existe pas de surfaces de Levi plates, analytiques réelles, dans ℂℙn.

In this paper we prove that holomorphic codimension one singular foliations on ℂℙn,n≥3 have no non trivial minimal sets. We prove also that for n≥3, there is no real analytic Levi flat hypersurface in ℂℙn.

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     author = {Lins Neto, Alcides },
     title = {A note on projective {Levi} flats and minimal sets of algebraic foliations},
     journal = {Annales de l'Institut Fourier},
     pages = {1369--1385},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {49},
     number = {4},
     year = {1999},
     doi = {10.5802/aif.1721},
     mrnumber = {2000h:32047},
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     url = {https://www.numdam.org/articles/10.5802/aif.1721/}
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Lins Neto, Alcides . A note on projective Levi flats and minimal sets of algebraic foliations. Annales de l'Institut Fourier, Tome 49 (1999) no. 4, pp. 1369-1385. doi : 10.5802/aif.1721. https://www.numdam.org/articles/10.5802/aif.1721/

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